Question
When the average of any two numbers is added to the
remaining number, the results come out to be 260, 248 and 232 respectively. What is the difference between the largest and smallest number?Solution
ATQ,
Let the numbers be x, y, z. 2x + y + z = 260 × 2 = 520 x + 2y + z = 248 × 2 = 496 x + y + 2z = 232 × 2 = 464 4(x + y + z) = 520 + 496 + 464 = 1480 x + y + z = 370 x = 520 – 370 = 150 y = 496 – 370 = 126 z = 464 – 370 = 94 Difference = 150 – 94 = 56
Dev has joined Snapchat and has 20 friends and each of these friends has 40 friends. Later, it is found that at least two of his friends know each other...
What is the value of 1² + 3² + 5² + 7² + 9² ................ 19²?
- In the number 862x4, if it is divisible by 56 and x > 5, then what is the value of x?
Three numbers are in the ratio 2:5:9. If the difference between the sum of the smallest and the largest and the sum of the smallest and the second numbe...
- Find the remainder when
- A certain number is to be subtracted from 90 and 72 to get the numbers in the ratio 5:4. What is the number?
Some chocolates were distributed among (x + 4) students such that each student received 12 chocolates. If there had been 8 students more, then chocolate...
A number is first increased by 20% and then decreased by 10%. If the final number is 108, find the original number.
- Two numbers have a sum of 112. If their LCM is 420 and HCF is 6, determine the smaller number.
Find the sum of all natural numbers from 1 to 300 which are divisible by 7.
Relevant for Exams:
